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Finding the Third Proportional to 60,463 and 141,191

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Solution

The third proportional to 60,463 and 141,191 is: 329,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,463 : 141,191 = 141,191 : x
  2. Step 2: Convert to fraction form
    60,463/141,191 = 141,191/x
  3. Step 3: Cross multiply
    60,463x = 141,191 × 141,191
  4. Step 4: Simplify right side
    60,463x = 19,934,898,481
  5. Step 5: Solve for x
    x = 19,934,898,481/60,463
  6. Step 6: Final answer
    x = 329,704.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.